Stage 27 · Plane Vectors

27.3.5 Testing Collinearity with Coordinates

27.3 The Fundamental Theorem and Going to Coordinates

Point 5 of 6

27.3.5 Testing Collinearity with Coordinates

Core idea

Two vectors are parallel exactly when their cross-multiplied coordinates match, x₁y₂−x₂y₁=0.

Module goal. Use two non-collinear vectors as a base to describe any vector, then bring in coordinates so geometric operations turn into plain arithmetic.

eastmath.com · 27.3 The Fundamental Theorem and Going to Coordinates · 27.3.5 Testing Collinearity with Coordinates